The pattern on the table is x increases:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
<h3>How to describe the pattern?</h3>
The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
- The sine of x increases
- The cosine of x increases
- The function sin²(x) + cos²(x) remains constant
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Answer: (4.9x) - 3
Step-by-step explanation: the reason i didn't add an extra line thing is because the negative becomes the minus. the 4.9 is self evident
This chart represents a proportional relationship. The rate of change will be 4.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
Given;
x y
1 4
2 8
3 12
4 16
Here, x = ky
put the first value
k = 1/4
This chart represents a proportional relationship.
So the rate of change will be
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Answer:
x=w-z
add x to both sides w=z+x
subtract z from both sides w-z=x
Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
